Using the Averaged Link Transmission Model for Efficient Control Design of Large-Scale Urban Networks

Thursday, April 20, 2017 - 10:00am
521 Cory Hall
Carlos Canudas-de-Wit

Director of Research at the CNRS
GIPSA-Lab, Grenoble, France


Russell Severance Springer Lecture Series


In this lecture,  we first  formalize the mathematic sense in which the solutions of the continuous-time signalized T-periodic Link Transmission  Model (LTM)  are approximated by the solutions of its averaged version.  In particular, we shown that the error norm between the solutions of the signalized and the averaged models is bounded, in both a finite and infinite time-intervals, by constant proportional to the ratio,  between the traffic light time-cycle, and  the considered road segment (link) length. This result confirms the intuition that the precision of the averaged models improves with the increase of traffic light frequencies and link road lengths. Then, we show that this model can be used to design efficient optimal controllers. We present an one-step head optimal controller, which can be formulated as a Linear program problem. Some animated simulations, using the microscopic simulator AIMSUM, of the Grenoble downtown will be also presented.


Canudas-de-Wit, Carlos was born in Villahermosa, Tabasco, Mexico in 1958. He received his B.Sc. degree in electronics and communications from the Technological Institute of Monterrey, Mexico in 1980. In 1984 he received his M.Sc. in the Department of Automatic Control, Grenoble, France. He was visitor researcher in 1985 at Lund Institute of Technology, Sweden. In 1987 he received his Ph.D. in automatic control from the Polytechnic of Grenoble (Department of Automatic Control), France. Since then he has been working at the same department as "Director of Research at the CNRS", where He teaches and conducts research in the area of control systems. He is the current leader of the NeCS GIPSA-Lab (CNRS)-INRIA team on Networked Controlled Systems. He has established several industrial collaboration projects with major French companies (FRAMATOME, EDF, CEA, IFREMER, RENAULT, SCHNEIDER, ILL, IFP, ALSTOM). He has been associate editor of the IEEE-Transaction on Automatic Control, from 1992 to 1997, AUTOMATICA, from 1999 to 2002. He is currently Associated Editor of: the Asian Journal of Control (since 2010), IEEE Transaction on Control System Technology (Since 2013), and the IEEE Transaction on Control of System Networks (since 2013). He holds the presidency of the European Control Association (EUCA) for the period 2013-15, and served at the IEEE Board of Governors of the Control System Society 2011-2014. He holds the ERC Advanced-Grant 2015 Scale-FreeBack for the period 2016-2021. He is IEEE-Fellow of the IEEE Control System Society. He is also IFAC-Fellow. His research publications includes: 200 International conference papers, and 65 published papers in international journals, 5 books, 10 Book chapter, and holds 11 Patents. He has supervised more than 34 Ph. D. students, 11 Post-docs, and more than 35 Ms. He holds the ERC Scale-FreeBack (Scale-free Control for Complex Physical Network Systems) Advanced Grant from 2016-21, see


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